6166056960 has 728 divisors, whose sum is σ = 25783957440. Its totient is φ = 1385496576.

The previous prime is 6166056931. The next prime is 6166057003. The reversal of 6166056960 is 696506616.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 104509411 + ... + 104509469.

Almost surely, 2^6166056960 is an apocalyptic number.

6166056960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6166056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12891978720).

6166056960 is an abundant number, since it is smaller than the sum of its proper divisors (19617900480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6166056960 is an frugal number, since it uses more digits than its factorization.

6166056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 6166056960 is about 78524.2444089722. The cubic root of 6166056960 is about 1833.7319167173.

The spelling of 6166056960 in words is "six billion, one hundred sixty-six million, fifty-six thousand, nine hundred sixty".